U-tiling: UQC4125
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1442 |
*22222 |
(3,6,2) |
{4,4,4} |
{6.4.4.6}{6.6.4.4}{6.6.6.6} |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
False
|
|
sqc9875
|
|
P4/mmm |
123 |
tetragonal |
{4,4,4} |
20 |
(3,6) |
|
G
|
False
|
|
sqc9887
|
|
I4122 |
98 |
tetragonal |
{4,4,4} |
20 |
(3,7) |
|
D
|
False
|
|
sqc3743
|
|
P4222 |
93 |
tetragonal |
{4,4,4} |
10 |
(3,6) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {6.4.4.6}{6.6.4.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<50.5:160:11 3 5 46 47 9 20 13 15 56 57 19 31 23 25 66 67 29 40 33 35 86 87 39 71 43 45 49 80 91 53 55 59 100 101 63 65 69 110 73 75 126 127 79 111 83 85 89 120 93 95 136 137 99 103 105 146 147 109 113 115 156 157 119 131 123 125 129 140 133 135 139 151 143 145 149 160 153 155 159,2 8 6 7 10 12 18 16 17 20 22 28 26 27 30 32 38 36 37 40 42 48 46 47 50 52 58 56 57 60 62 68 66 67 70 72 78 76 77 80 82 88 86 87 90 92 98 96 97 100 102 108 106 107 110 112 118 116 117 120 122 128 126 127 130 132 138 136 137 140 142 148 146 147 150 152 158 156 157 160,21 4 5 26 97 98 99 30 31 14 15 36 77 78 79 40 24 25 117 118 119 34 35 107 108 109 61 44 45 66 137 138 139 70 81 54 55 86 127 128 129 90 64 65 157 158 159 101 74 75 106 110 84 85 147 148 149 111 94 95 116 120 104 105 114 115 141 124 125 146 150 151 134 135 156 160 144 145 154 155:6 4 4 6 4 4 6 6 6 4 6 4 4 4 6 6,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 59): 't2', (0, 60): 'tau2^-1', (2, 59): 't2*tau3^-1', (0, 50): 't2', (0, 49): 't3', (2, 49): 't3*tau2', (0, 40): 't3', (0, 35): 't1', (2, 147): 't1', (0, 36): 't1', (2, 35): 't1', (2, 28): 't1^-1', (2, 29): 't1^-1', (2, 30): 't1', (2, 159): 'tau2^-1*t3^-1', (0, 30): 't1', (2, 26): 't1^-1', (0, 29): 't1^-1', (2, 148): 't1', (2, 149): 't1*tau3*t2^-1', (2, 150): 't1^-1*tau3^-1*t2', (0, 150): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 145): 'tau2*t3', (2, 146): 't1', (0, 149): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 140): 'tau2*t3', (0, 139): 'tau1', (0, 130): 'tau1', (0, 115): 't1', (0, 119): 'tau3^-1', (2, 115): 'tau3^-1*t2', (2, 110): 'tau3^-1*t2', (0, 110): 'tau3^-1', (2, 105): 'tau2*t3', (0, 109): 'tau2', (2, 100): 'tau2*t3', (0, 156): 't1^-1', (2, 155): 't1^-1*tau3^-1*t2', (2, 27): 't1^-1'}